Nonaxisymmetric local magnetostatic equilibrium
Abstract
In this study, we outline an approach to the problem of local equilibrium in nonaxisymmetric configurations that adheres closely to Miller's original method for axisymmetric plasmas. Importantly, this method is novel in that it allows not only specification of 3D shape, but also explicit specification of the shear in the 3D shape. A spectrallyaccurate method for solution of the resulting nonlinear partial differential equations is also developed. We verify the correctness of the spectral method, in the axisymmetric limit, through comparisons with an independent numerical solution. Some analytic results for the twodimensional case are given, and the connection to Boozer coordinates is clarified.
 Authors:
 General Atomics, San Diego, CA (United States)
 Publication Date:
 Research Org.:
 General Atomics, San Diego, CA (United States)
 Sponsoring Org.:
 USDOE Office of Nuclear Energy (NE)
 OSTI Identifier:
 1356309
 Grant/Contract Number:
 FG0295ER54309
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Journal of Plasma Physics
 Additional Journal Information:
 Journal Volume: 81; Journal Issue: 03; Journal ID: ISSN 00223778
 Publisher:
 Cambridge University Press
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Candy, Jefferey M., and Belli, Emily A. Nonaxisymmetric local magnetostatic equilibrium. United States: N. p., 2015.
Web. doi:10.1017/S0022377815000264.
Candy, Jefferey M., & Belli, Emily A. Nonaxisymmetric local magnetostatic equilibrium. United States. doi:10.1017/S0022377815000264.
Candy, Jefferey M., and Belli, Emily A. 2015.
"Nonaxisymmetric local magnetostatic equilibrium". United States.
doi:10.1017/S0022377815000264. https://www.osti.gov/servlets/purl/1356309.
@article{osti_1356309,
title = {Nonaxisymmetric local magnetostatic equilibrium},
author = {Candy, Jefferey M. and Belli, Emily A.},
abstractNote = {In this study, we outline an approach to the problem of local equilibrium in nonaxisymmetric configurations that adheres closely to Miller's original method for axisymmetric plasmas. Importantly, this method is novel in that it allows not only specification of 3D shape, but also explicit specification of the shear in the 3D shape. A spectrallyaccurate method for solution of the resulting nonlinear partial differential equations is also developed. We verify the correctness of the spectral method, in the axisymmetric limit, through comparisons with an independent numerical solution. Some analytic results for the twodimensional case are given, and the connection to Boozer coordinates is clarified.},
doi = {10.1017/S0022377815000264},
journal = {Journal of Plasma Physics},
number = 03,
volume = 81,
place = {United States},
year = 2015,
month = 3
}
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